Question

The table shows the annual visitors to a museum in millions. Write an equation for the projected number of

visitors after n years.

Answer 1

`x_n=(4)1.5^((n-1))`

Explanation:

Geometric sequence equation:
`x_n=ar^((n-1))`

where a is the first term and r is the common ratio

From the table, the first term is 4 (number of visitors in year 1), so a = 4

To find the common ratio, divide a term by its previous term:

9/6 = 1.5

Therefore,
`x_n=(4)1.5^((n-1))`